25/22

From Xenharmonic Wiki

Jump to navigation Jump to search

Interval information

Ratio

25/22

Factorization

2^-1 × 5² × 11^-1

[-1 0 2 0 -1⟩

Size in cents

221.3095¢

Names

ptolemismic whole tone,
undecimal acute whole tone

1uyy2, luyoyo 2nd

[math]\displaystyle{ \text{A2}^{5,5}_{11} }[/math]

Special properties

Tenney height (log₂ nd)

9.10329

Weil height (log₂ max(n, d))

9.28771

Wilson height (sopfr(nd))

23

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.19865 bits

Open this interval in xen-calc

25/22, the ptolemismic whole tone or undecimal acute whole tone, is an 11-limit interval. It is sharp of 9/8, the Pythagorean whole tone, by 100/99, the ptolemisma, hence the name. It is also flat of 8/7, the septimal major second, by 176/175, the valinorsma. Another interval close to it but simpler is 17/15, from which it is separated by 375/374.

See also

Retrieved from "https://en.xen.wiki/index.php?title=25/22&oldid=193402"